Chaotic Cyclotron and Hall Trajectories Due to Spin‐Orbit Coupling,Annalen Der Physik

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Chaotic Cyclotron and Hall Trajectories Due to Spin‐Orbit Coupling
Annalen Der Physik ( IF 2.2 ) Pub Date : 2020-05-07 , DOI: 10.1002/andp.202000012
Elena V. Kirichenko ₁ , Vladimir A. Stephanovich ₁ , Evgeny Ya. Sherman _{2,

3}

Affiliation

It is demonstrated that the synergistic effect of a gauge field, Rashba spin‐orbit coupling (SOC), and Zeeman splitting can generate chaotic cyclotron and Hall trajectories of particles. The physical origin of the chaotic behavior is that the SOC produces a spin‐dependent (so‐called anomalous) contribution to the particle velocity and the presence of Zeeman field reduces the number of integrals of motion. By using analytical and numerical arguments, the conditions of chaos emergence are studied and the dynamics both in the regular and chaotic regimes is reported. The critical dependence of the dynamic patterns (such as the chaotic regime onset) on small variations in the initial conditions and problem parameters, that is the SOC and/or Zeeman constants, is observed. The transition to chaotic regime is further verified by the analysis of phase portraits as well as Lyapunov exponents spectrum. The considered chaotic behavior can occur in solid state systems, weakly relativistic plasmas, and cold atomic gases with synthetic gauge fields and spin‐related couplings.

中文翻译：

自旋轨道耦合引起的回旋加速器和霍尔轨迹混沌

结果表明，轨距场，Rashba自旋轨道耦合（SOC）和塞曼分裂的协同效应可以产生粒子的混沌回旋加速器和Hall轨迹。混沌行为的物理根源是，SOC对粒子速度产生了自旋相关（所谓的反常）贡献，而塞曼场的存在减少了运动积分的数量。通过使用解析和数值论证，研究了混沌出现的条件，并报道了常规和混沌状态下的动力学。观察到动态模式（例如混沌状态开始）对初始条件和问题参数（即SOC和/或Zeeman常数）的微小变化的关键依赖性。向相态以及李雅普诺夫指数谱的分析进一步证实了向混沌状态的过渡。所考虑的混沌行为可能发生在固态系统，相对论性弱的等离子体以及具有合成标称场和自旋相关耦合的冷原子气体中。

更新日期：2020-05-07

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